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Finding the Fourth Proportional to 251,200.98, 377,121.29 and 162,824.31

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Solution

The fourth proportional to 251,200.98, 377,121.29 and 162,824.31 is: 244,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,200.98 : 377,121.29 = 162,824.31 : x
  2. Step 2: Convert to fraction form
    251,200.98/377,121.29 = 162,824.31/x
  3. Step 3: Cross multiply
    251,200.98x = 377,121.29 × 162,824.31
  4. Step 4: Simplify right side
    251,200.98x = 61,404,513,016.44
  5. Step 5: Solve for x
    x = 61,404,513,016.44/251,200.98
  6. Step 6: Final answer
    x = 244,443.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.